The train 'A' travelled a distance of 120 km in 3 hours whereas another train 'B' travelled a distance of 180 km in 4 hours. Which train travelled faster ?

Options

A. A
B. B
C. both runs with equal speed
D. none of these

Answer

B

Explanation

In order to solve this problem k, we have to calculate the speeds of both the trains separately.
The train having higher speed will have travelled faster.
(i) We know that : `" "` Speed = `("Distance travelled")/("Time taken")`
Now, `" "` Distance travelled by train A = 120 km
And, `" "` Time taken by train A = 3 h
So, `" "` Speed of train A = `(120"km")/(3" h")`
`" "` = 40 km/h `" "`..(1)
Thus, the speed of train A is 40 kilometres per hour.
(ii) Again, `" ""Speed"=("Distance travelled")/("Time taken")`
Now, `" "` Distance travelled by train B = 180 km
And, `" "` Time taken by train B = 4 h
So, `" "` Speed of train B = `(180" km")/(4" h")`
`" " `= 45 km/h `" "`...(2)
Thus, the speed of train B is 45 kilometres per hour.
From the above calculations we find that the train A travels a distance of 40 kilometres in one hour
whereas the train B travels a distance of 45 kilometres in one hour. Since the speed of train B is higher, therefore, train B has travelled faster.