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Q2. Two places Aurangabad and Ellora are 120 km apart. Two cyclists leave Ellora for Aurangabad such that second leaves 4 hours after the first. Both the cyclists arrive at Aurangabad at the same time. Find the time taken by the slower cyclist on the trip if the speed of one cyclist is 5 km/hr more than the other.
(a) 8 hr
(b) 10 hr
(c) 12 hr
(d) 15 hr
(e) 20 hr
Q3. A truck covers a certain distance at certain speed. If speed is 4 km/hr more than the original speed it would take 4 hour less to cover the same distance and if speed is 6 km/hr less than original speed it would take 8 hour more than the normal time. Find distance covered by truck? (in km)
(a) 1520
(b) 1360
(c) 1480
(d) 1440
(e) 1260
Q4. Abhi swims from point A against current for 6 min and then swims backward in the direction of current for next 6 min. & comes to another point B. If distance between A to B is 200m then find speed of current (in km/hr)?
(a) 2
(b) 1
(c) 3
(d) 4
(e) 0.5
Q5. A boat travels in upstream. If the speed of boat in upstream in decreased by 40% then it is equal to the speed of current and speed of boat in still water is given as 240 km/hr. Then find upstream speed of boat? (in km/hr).
(a) 120
(b) 180
(c) 150
(d) 210
(e) 125
Q6. A train ‘X’ starts from station P at 8 am and reaches station Q at 4 pm. Another train ‘Y’ started from Q at the same time at which ‘X’ started and reaches ‘P’ at 3 pm. then find the time at which both the trains crossed each other.
(a) 11 : 44 am
(b) 11 : 48 am
(c) 11 : 36 am
(d) 12 : 44 pm
Q8. A train crosses a man who is moving in same direction going along the railway track and speed of man is 4 km/hr. The man could see the train upto 3 min. Find the speed of train if at time of disappearance the distance between train to man is 0.8 km & length of train is 200 meter? (in km/hr).
(a) 24
(b) 28
(c) 32
(d) 18
(e) 36
Q10. A motor boat cover 12 km of distance in upstream in 40 minutes. If speed of stream is 25% of speed of boat, then find in what time boat will cover distance of 135 km in downstream?
(a) 3.5 hours
(b) 4.5 hours
(c) 2.5 hours
(d) 1.5 hours
(e) 5.5 hours
Q11. Ratio of upstream speed of a boat to speed of river current is 4 : 1. It covers 42 km in downstream in T hours and 24 km in upstream in (T – 1) hours. Find speed of boat in still water.
(a) 5 km/hr
(b) 4 km/hr
(c) 6 km/hr
(d) 7 km/hr
(e) 8 km/hr
Q12. Ratio of length of 3 train A, B and C is 10 : 5 : 12. Train A completely crosses stationary train B in 15 sec and train A and C completely crosses each other moving in same direction in 50 sec. If speed of train A is 25 m/sec then find speed of train C in m/sec.
(a) 24
(b) 12
(c) 14
(d) 22
(e) 11
Q13. A man travel some journey on car with speed 60 kmph and some on cycle with speed 4 kmph. In return journey he come in train with speed 20 kmph and take equal time in both side journey. Find the ratio of the distance travel by car, cycle and train.
(a) 8 : 2 : 11
(b) 3 : 2 : 5
(c) 2 : 1 : 3
(d) 6 : 1 : 7
(e) None of these
Q14. The speed of boat in upstream is thrice the speed of current and the speed of boat in downstream is 30 km/hr. Then find the time taken by boat to travel 63 km in upstream.
(a) 3.5 hr
(b) 3 hr
(c) 4.5 hr
(d) 4 hr
(e) 5 hr
Q15. There are two cars P & Q which are x km apart from each other. Car P & Q start moving towards each other at speed of 20 km/hr & 40 km/hr respectively in such a way that in first hour P moves & Q does not move, in 2nd hour only Q moves & P does not move & this continues till they meet. Find value of x, if they meet after 8 1/2 hours.
(a) 250 km
(b) 280 km
(c) 320 km
(d) 350 km
(e) 300 km
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