A person takes a trip, driving with a constant speed of 99.5 km/h, except for a 22.0-min rest stop. If the person's average speed is 77.0 km/h, find the following. (a) How much time is spent on the trip? h (b) How far does the person travel? km
Given average speed,
Total time taken for trip =Time for driving +Time for rest =
Given time for rest =22min =
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Let d be the total distance covered
Speed =Distance /Time
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Average speed =Total distance/Total time
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Total time taken for trip =Time for driving +Time for rest =
ANSWER:
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(b) How far does the person travel?
ANSWER :
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SOLUTION :
a.
Let time of travel be t hr and distance covered be d km.
Rest time = 22 min = 22/60 = 0.3667 hr.
So,
d = 99.5 * (t - 0.3667)
Also, d = 77 * t
So,
99.5 (t - 0.3667) = 77 t
=> 99.5 t - 36.4866 = 77 t
=> 99.5 t - 77 t = 36.4866
=> 22.5 t = 36.4866
=> t = 36.4866 / 22.5 = 1.6216 hr = 1 hr 37 min 18 sec approx. (ANSWER).
b.
d = 77 * 1.6216 = 124.86 km approx. (ANSWER).
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