Question

Saniay drives to his holiday home at a speed of 60 km/h. But he
75 km/h, he would have taken 40 minutes less to co
home?
But he finds that if his
the distance. How far is his holiday home​

Answer 1

His holiday home is 200 km away.

Step-by-step explanation:

Since we have given that

Speed = 60 km/hr

New speed becomes 75 km/hr

Time taken = 40 minutes less

According to question, it becomes,

$\dfrac{x}{60}-\dfrac{x}{75}=\dfrac{40}{60}=\dfrac{2}{3}\\\\\dfrac{1}{15}(\dfrac{x}{4}-\dfrac{x}{5})=\dfrac{2}{3}\\\\\dfrac{5x-4x}{20}=\dfrac{2}{3}\times 15=2\times 5=10\\\\\dfrac{x}{20}=10\\\\x=200\ km$

Hence, his holiday home is 200 km away.

#learn more:

A man spends 7/15 of his income at home,1/6 of his income on holidays and saves the rest. If he saves

22000 in a year, what is his income?

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