Question

X takes 21/2 hours more than that taken by Y to cover a certain distance​

Answer 1

Answer:

1 (1/3) hours

Step-by-step explanation:

Let

D be the Distance,

x be Speed of X,

y be the Speed of Y

Condition 1: X takes 2 1/2 hours more time than that taken by y to cover certain distance.

D/x - D/y = 2.5 take it as first equation.

Condition 2:if X doubles his speed he can cover the same distance in 1 1/2 hours less than the time taken by Y for same distance

Similarly,    D/y - D/2x = 1.5 take it as second equation.

Solve the above equation :

2D - D / 2x = 1

Therefore Distance D = 2x

Therefore  time taken by Y required to cover two-third of same distance

Time  =  Distance / speed

        = 2x * (2/3)  /  x

        = 2x * (2/3) * (1/x)

        = 4/2

Time = 1 (1/3) hours

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