Speed Time & Distance Quants MCQs with Answer - Exercise II

Ques 1 Speed and Time


A train 180 m long moving at the speed of 20 m/sec overtakes a man moving at a speed of 10 m/sec in the same direction. The train passes the man in

A 9 sec
B 18 sec
C 27 sec
D 36 sec

Let's call the time it takes for the train to overtake the man "t".
During this time, the man covers a distance of 10 * t meters, and the train covers a distance of 20 * t + 180 meters.
The train must cover a distance equal to the length of the train plus the distance covered by the man, so we have:
20 * t + 180 = 10 * t + 180
Solving for t, we get:
10 * t = 180
t = 18 seconds
So, the train passes the man in 18 seconds, and the correct answer is b) 18 sec.

Ques 2 Speed and Time


A man covers half of his journey at 6 km/hr and the remaining half at 3 km/hr. His average speed is

A 1 km/h
B 2 km/h
C 3 km/h
D 4 km/h

Ques 3 Speed and Time


A Jackal takes 4 leaps for every 5 leaps of goat but 3 leaps of a Jackal are equal to 4 leaps of the goat. compare their speeds

A 12 : 10
B 1:4
C 4:3
D 16:15

Ques 4 Speed and Time


Running at 5/6 of its usual speed, a train is 10 minutes too late. Find its usual time to cover the journey.

A 60 min
B 30 min
C 50 min
D 40 min

Ques 5 Speed and Time


If A and B can do a piece of work in 24 days, B and C can do it in 40 days, while A and C can do it 30 days. In how many days can A alone do it?

A 75 days
B 60 days
C 120 days
D 40 days

Ques 6 Speed and Time


The incomes of A and B are in the ratio 8:5, and their expenditures are in the ratio 13:7. If each saves Rs.3000 what is the expenditure of B?

A Rs.16000
B Rs.13000
C Rs.7000
D Rs.10000