Mathematical Ability - Time, Work and Distance
Exam Duration: 45 Mins Total Questions : 30
10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. 10 men and 15 women together would complete the work in
- (a)
\(6\frac{2}{3}\) days
- (b)
\(8\frac{1}{3}\)days
- (c)
\(7\frac{2}{3}\)days
- (d)
None of these
A can do a piece of work in 30 days while B can do it in 40 days. A and B working together can do it in
- (a)
\(15\frac{2}{7}\) days
- (b)
\(17\frac{1}{7}\) days
- (c)
\(18\frac{3}{7}\)days
- (d)
None of these
A, B and C can do a piece of work in 6, 12 and 24 days, respectively. They all together will complete the work in
- (a)
\(5\frac{2}{7}\)days
- (b)
\(4\frac{3}{7}\) days
- (c)
\(3\frac{3}{7}\) days
- (d)
None of these
Ramesh takes twice as much time as Mahesh and thrice as much time as Suresh to complete a job. If working together, they can complete the job in 4 days, then the time taken by each of them separately to complete the work is
- (a)
36, 24 and 16 days
- (b)
20, 16 and 12 days
- (c)
24,42 and 8 days
- (d)
None of these
Sneha takes twice as much time as Gitika to complete a work and Ritu does it in the same time as Sneha and Gitika together. If all three working together can finish the work in 6 days, then the time taken by each of them to finish the work is
- (a)
18,36, and 12 days
- (b)
20,38 and 14 days
- (c)
24,42 and 18 days
- (d)
None of these
A and B can do a piece of work in 18 days; B and C in 24 days; C and A in 36 days. A alone can do the work in
- (a)
48 days
- (b)
56 days
- (c)
40 days
- (d)
None of these
Anu can complete a work in 10 days. Manu is 25% more efficient than Anu and Sonu is 60% more efficient than Manu. Working together, how long would they take to finish the job?
- (a)
\(3\frac{2}{3}\) days
- (b)
\(5\frac{6}{7}\) days
- (c)
\(2\frac{6}{17}\) days
- (d)
None of these
A and B finish a job in 12 days while A, B and C can finish it in 8 days. C alone will finish the job in
- (a)
24 days
- (b)
36 days
- (c)
28 days
- (d)
None of these
Akhita, Poonam and Sonia can complete a work in \(2\frac{2}{3}\) days. If Akhita and Sonia can do it in 4 days and Akhita alone can do it in 6 days, then Akhita and Poonam can complete the work in
- (a)
\(5\frac{4}{7}\) days
- (b)
\(4\frac{2}{7}\) days
- (c)
\(3\frac{3}{7}\) days
- (d)
None of these
Bindal can finish a work in 10 days. Jindal is twice as efficient as Bindal. If they work together, in how many days, the work will be finished?
- (a)
\(3\frac{1}{3}\) days
- (b)
\(5\frac{2}{3}\) days
- (c)
\(4\frac{1}{3}\) days
- (d)
None of these
Working 7 hours daily 24 men can complete a piece of work in 27 days. In how many days would 14 men complete the same piece of work working 9 hours daily?
- (a)
36 days
- (b)
30 days
- (c)
32 days
- (d)
None of these
45 men complete a piece of work in 30 days working 12 hours a day. In how many days will 60 men complete work working 10 hours a day?
- (a)
27 days
- (b)
30 days
- (c)
24 days
- (d)
None of these
The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days then in how many days can 12 men, 12 women and 12 boys together finish the same work working 8 hours per day?
- (a)
\(2\frac{1}{2}\) days
- (b)
\(1\frac{1}{2}\) days
- (c)
\(3\frac{1}{2}\) days
- (d)
None of these
Two men undertake to do a piece of work for Rs.600. One alone could do it in 6 days, other in 8 days and they finish it in 3 days with help of a boy. Boy's share should be
- (a)
Rs.300
- (b)
Rs.225
- (c)
Rs.75
- (d)
Rs.100
A pedestrian and a cyclist start simultaneously towards each other from Aurangabad and Paithan which are 40 km apart and met 2 hours after the start. Then they resumed their trips and the cyclist arrives at Aurangabad 7 hours 30 minutes earlier than the pedestrian arrives at Paithan. Which of these could be the speed of the pedestrian?
- (a)
4 km/h
- (b)
5 km/h
- (c)
3 km/h
- (d)
Cannot be determined
The Sinhagad Express left Pune at noon sharp. Two hours later, the Deccan Queen started from Pune in the same direction. The Deccan Queen overtook the Sinhagad Express at 8 p.m. Find the average speed of the two trains over this journey if the sum of their average speeds is 70 km/h.
- (a)
34.28 km/h
- (b)
35 km/h
- (c)
50 km/h
- (d)
12 km/h
Ram and Bharat travel the same distance at the rate of 6 km per hour and 10 km per hour respectively. If Ram takes 30 minutes longer than Bharat, the distance travelled by each is
- (a)
6 km
- (b)
10 km
- (c)
7.5 km
- (d)
20 km
A monkey ascends a greased pole 12 meters high. He ascends 2 metres in first minute and slips down 1 metre in the alternate minute. In which minute, he reaches the top?
- (a)
10th
- (b)
20th
- (c)
12th
- (d)
21st
Two cyclists start simultaneously towards each other from Aurangabad and Ellora, which are 28 km apart. An hour later they meet and keep pedalling with the same speed without stopping. The second cyclist arrives at Ellora 35 minutes later than the first arrives at Aurangabad. Find the speed of the cyclist who started from Ellora.
- (a)
12 km/h
- (b)
16 km/h
- (c)
15 km/h
- (d)
None of these
A racetrack is in the form of a right triangle. The longer of the legs of the track is 2 km more than the shorter of the legs (both these legs being oft a highway). The start and end points are also connected to each other through a side road. The escort vehicle for the race took the side road and rode with a speed of 30 km/h and then covered the two intervals along the highway during the same time with a speed of 42 km/h. Find the length of the racetrack.
- (a)
14 km
- (b)
10 km
- (c)
24 km
- (d)
36 km
Walking at 3/5th of his normal speed, a man takes 30 minutes more than his normal time. Find his normal time.
- (a)
75 min
- (b)
60 min
- (c)
50 min
- (d)
45 min
A man takes 5 hours to walk to a certain place and return by car. He would have gained 3 hours if he had travelled both ways by car. How long he would have taken to walk both ways?
- (a)
12 hours
- (b)
8 hours
- (c)
4 hours
- (d)
9 hours
Two planes move along a circle of circumference 1.2 km with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction, one plane overtakes the other every 60 seconds. Find the speed of the slower plane.
- (a)
0.04 km/s
- (b)
0.03 km/s
- (c)
0.05 km/s
- (d)
0.02 km/s
A tourist covered a journey by foot and partly by tonga. He walked for 90 km and rode the tonga for 10 km. He spent 4 h less on the tonga than on walking. If the tourist had reversed the times he travelled by foot and on tonga, the distance travelled on each part of the journey would be equal. How long did he ride the tonga?
- (a)
He rode for 6 hours
- (b)
He rode for 4 hours
- (c)
He rode for 2 hours
- (d)
None of these
Without stoppage, a train travels a certain distance with an average speed of 60 km/h and with stoppage it covers the same distance with an average speed of 40 km/h on an average, how many minutes per hour does the train stop during the journey?
- (a)
20 min/h
- (b)
15 min/h
- (c)
10 min/h
- (d)
10 min/h
At 3 pm every day, a man leaves Chennai for Delhi and at the same time, a man leaves Delhi for Chennai. Both take the same route. The travel time for each person being 384 hrs, how many persons from Chennai will each man from Delhi meet?
- (a)
16
- (b)
17
- (c)
34
- (d)
33
If a man takes 3 hours to row 3 km upstream or 15km downstream, then the speed of the current is
- (a)
4 km/hr
- (b)
9 km/hr
- (c)
2 km/hr
- (d)
6 km/hr
A motorcyclist left point A for point B. Two hours later, another motorcyclist left A for B and arrived at B at the same time as the first motorcyclist. Had both the motorcyclists started simultaneously from A and B travelling towards each other, they would have met in 80 minutes. How much time did it take the second motorcyclist to travel from A to B?
- (a)
6 hours
- (b)
3 hours
- (c)
2 hours
- (d)
4 hours
Manish travels a certain distance by car at the rate of 12 km/h and walks back at the rate of 3 km/hr. The whole journey took 5 hours. What is the distance he covered on the car?
- (a)
12 km
- (b)
30 km
- (c)
15 km
- (d)
6 km
A railway passenger counts the telegraph poles on the rail road as he passes them. The telegraph poles are at a distance of 50 metres. What will be the count of telegraph poles in 4 hours, if the speed of the train is 45 km per hour?
- (a)
600
- (b)
2500
- (c)
3600
- (d)
5000