SOLUTION: Hi A man cycles to a place at 10km per hour and arrives at 1 pm. If he cycles at 15km per hour he arrives at the same place at 11am. What speed must he cycle to arrive at noon.

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Question 1160872: Hi
A man cycles to a place at 10km per hour and arrives at 1 pm. If he cycles at 15km per hour he arrives at the same place at 11am. What speed must he cycle to arrive at noon.
Thanks
Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
A man cycles to a place at 10km per hour and arrives at 1 pm. If he cycles at 15km per hour he arrives
at the same place at 11 am. What speed must he cycle to arrive at noon ?
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Let d be the distance to travel.


Then from the condition, you have this "time" equation

    d%2F10 - d%2F15 = 2  hours.


To solve this equation, multiply both sides by 30. You will get

    3d - 2d = 60,

    d       = 60.


Thus the distance is 60 kilometers.


At the rate of 15 km/h, the cyclist cover it in 4 hours and arrives at 11 am.


To arrive at noon, the cyclist shoud travel 5 hours; hence, his speed should be 60/5 = 12 kilometers per hour.    ANSWER

Solved.