Question

# Point A and B are 70 km apart on a highway. A car starts from A and another car starts from B at the same time. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other they meet in one hour. What are their speeds?

A
30 km/hr and 40 km/hr
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B
36 km/hr and 40 km/hr
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C
19 km/hr and 20 km/hr
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D
40 km/hr and 50 km/hr
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Solution

## The correct option is B 30 km/hr and 40 km/hrLet car speed from point A=xkm/hr.and car speed from point B=ykm/hr.Distance = speed × time∴ Distance from A=x×7=7xDistance from B=y×7=7yIf they travel in the same direction, they meet in 7 hours. Point A and B are 70km apart. ⇒7x−7y=70⇒x−y=10 ...(i)if they travel towards each other they meet in one hour. Point A and B are 70km apart. x+y=70 ...(ii)Adding (i) and (ii). we get2x=80∴x=40substituting x=40 in (i). we get40−y=10∴y=30∴x=40km/hr and y=30km/hr.

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