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SECTION B

A matatu and Nissan left town A for town B 240km away at 8.00 a.m travelling at 90km/hr
and 120km/hr respectively. After 20 minutes the Nissan had a puncture which took 30
minutes to mend.
(5mks
a) How far from town A did the Nissan catch up with the matatu?


1 Answer

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Answer:

180 km

Explanation:

The Nissan had traveled (120 km/h)(1/3 h) = 40 km when it had the puncture. It started from that location when the puncture was repaired at t = (1/3+1/2) = 5/6, where t is in hours. Then the two vehicles met (again) when ...

Matatu distance = Nissan distance

90t = 40+120(t -5/6)

0 = 40 +30t -100 . . . . . . subtract 90t, eliminate parentheses

60 = 30t . . . . . . . . . . . add 60

2 = t . . . . . . . . . . . . . 2 hours after leaving, the cars meet again

That distance from town A is ...

y = 90t = 90(2) = 180 . . . . km

SECTION B A matatu and Nissan left town A for town B 240km away at 8.00 a.m travelling-example-1
User Nick Bolton
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