Question #299832

you normally drive on the freeway between butuan city and cagayan de oro city at an average speed of 100km/hr (62.14 mi/hr), and the trip takes 4 hours and 30 mins on a friday afternoon, however, heavy traffic slows you down and you drive the same distance at an average speed of only 70km/hr (43 mi/hr). how much longer does the trip take?


1
Expert's answer
2022-02-19T04:55:49-0500

For the case of a normal trip, we determine the distance between cities

We have

v=100km/hrv=100km/hr

t=4hr30mins=4.5hrt= 4hr30mins=4.5 hr

then the distance between cities is

S=vt=1004.5=450kmS=v \cdot t=100 \cdot 4.5 = 450km

then for the average speed

u=70km/hru=70 km/hr

travel time is

τ=Su=45070=6.43hr=6hr25mins48sec\tau=\frac{S}{u}=\frac{450}{70}=6.43hr=6hr25mins48sec


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