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when I walk from my house at 4km/h, I will get to my office 30mins later than when I walk at 5km/h. calculate the distance between my house and office.​

1 Answer

5 votes

Explanation:

speed = distance / duration

therefore,

distance / speed = duration

as the speed is given in km/h, the duration is measured in hours. and distance in km.

to arrive 30 minutes (= 0.5 hours) later means it took us 0.5 hours longer.

distance/4 = distance/5 + 0.5

distance = 4×distance/5 + 4×0.5

5×distance = 4×distance + 5×4×0.5 =

= 4×distance + 10

distance = 10 km

User Oleg Polezky
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