When the speed of a train is increased by 20 it takes 20 minutes less to cover the same distance Wha...........

Quantitative Aptitude (CDS) Time & distance

When the speed of a train is increased by 20%, it takes 20 minutes less to cover the same distance. What is the time taken to cover the same distance with the original speed?

140 minutes

120 minutes

100 minutes

80 minutes

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Explanation:

Let original speed be 100 then increased speed be 120 time taken in original speed be t
Then time taken in increase speed be (t−20)
As, distance in the both cases will be same
So, 100t=120(t−20)
=> 5t=6(t−20)
=> 5t=6t−120
=> 6t−5t=120
=>t=120 minutes