Question

To cover a distance of 416km a train takes 8/3 more than train
b. If the speed of a is doubled it will take 4/3 hr less than
b. What is s[eed of train a

Answer 1

Answer:

156 km/hr .......speed of A

Explanation:

plz refer to images for detailed solution.....

Answer 2

The speed of train a is 156 km/hr.

Explanation:

Given that,

Distance = 416 km

Let the speed of train a is v and b is v'.

For train a,

Time is

$t'=t+\dfrac{8}{3}$

We need to calculate the speed of train a

Using formula of time

$t'=\dfrac{d}{v}$

Put the value into the formula

$t+\dfrac{8}{3}=\dfrac{416}{v}$....(I)

If the speed of a is doubled it will take $\dfrac{4}{3}\ hr$ less than  b

For train b,

The time is

$t'=t-\dfrac{4}{3}$

Using formula of time

$t'=\dfrac{d}{v}$

Put the value into the formula

$t-\dfrac{4}{3}=\dfrac{416}{2v}$....(II)

Now, from equation (I) and (II)

$\dfrac{8}{3}-\dfrac{4}{3}=\dfrac{416}{v}-\dfrac{416}{2v}$

$\dfrac{12}{3}=\dfrac{832+416}{2v}$

$v=\dfrac{832+416}{8}$

$v=156\ km/hr$

Hence, The speed of train a is 156 km/hr.

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Topic : speed

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