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vampirchik [111]
3 years ago
15

A train goes twice as fast downhill as it can go uphill, and 2/3 feet as fast uphill as it can go on level ground. If it goes 12

0 miles per hour downhill, how long will it take to travel 45 miles per flat
Mathematics
1 answer:
Yuri [45]3 years ago
4 0

Answer:

0.5hrs

Step-by-step explanation:

Let the speed downhill be x,

Speed uphill is 0.5x. We are told than speed uphill is \frac{2}{3} the speed on flat ground. Therefore the speed on level ground will be \frac{0.5x}{2/3}=0.75x.

From this info, we can obtain the actual speed,v_g on level ground as:

x=120m/h\\0.75x=v_g\\\\\therefore v_g=\frac{0.75x \times 120m/h}{x}\\v_g=90m/h

speed, distance and time have the relation s=d/t so to obtain time to cover 45miles:

t=d/s\\=45/90\\=0.5h

Hence it takes 0.5hrs to cover 45miles on flat ground.

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