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olga55 [171]
3 years ago
9

Manuel traveled 3 hours nonstop to​ Mexico, a total of 197 miles. He took a train part of the​ way, which averaged 70​mph, and t

hen took a bus the remaining​ distance, which averaged 60 mph. How long was Manuel on the​ train?
Physics
1 answer:
Anton [14]3 years ago
7 0

Answer:

1.7 hours

Explanation:

Time taken in the journey = 3 hours

Distance of the entire journey = 197 miles

Distance travelled on train = x

Distance travelled on bus = 197-x

Average speed of train = 70 mph

Average speed of bus = 60 mph

Time = Distance / Speed

\frac{x}{70}+\frac{197-x}{60}=3\\\Rightarrow \frac{6x+1379-7x}{420}=3\\\Rightarrow -x+1379=3\times 420\\\Rightarrow -x=1260-1379\\\Rightarrow x=119\ miles

Distance travelled by train = 119 miles

Time taken on train = 119 / 70 = 1.7 hours

Manuel spent 1.7 hours on the​ train

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