SOLUTION: Wilfred and Wendy have a long distance bike race. Wilfred rides at 20 km/h and has a 2 hour head start. Wendy travels at 28 km/h. How long does it take for Wendy to catch up to Wil

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Question 1111031: Wilfred and Wendy have a long distance bike race. Wilfred rides at 20 km/h and has a 2 hour head start. Wendy travels at 28 km/h. How long does it take for Wendy to catch up to Wilfred? Use distance = speed × time.

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39621)   (Show Source): You can put this solution on YOUR website!
d, distance upon catching-up





Time to catch up, , hours

Answer by ikleyn(52818)   (Show Source): You can put this solution on YOUR website!
.
One line solution:

How long does it take for Wendy to catch up to Wilfred =  =  = 5 hours.

Explanation:

Wilfred is 2*20 = 40 km ahead (head start).   It is the initial distance.  And it is the NUMERATOR of my formula.


Their relative speed is 28-20 = 8 km/h   meaning that the distance between them decreases at the rate of 8 km/h.

                                                                           And it is the DENOMINATOR of my formula.


It gives the time to catch up   = 5 hours.

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    - Travel and Distance problems
    - Travel and Distance problems for two bodies moving in opposite directions
    - Travel and Distance problems for two bodies moving in the same direction (catching up)
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