Question

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 then took a bus the remaining​ distance, which averaged 60 mph. How long was Manuel on the​ train?

Answer 1

1.7 hours

Step-by-step 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

`(x)/(70)+(197-x)/(60)=3\\\Rightarrow (6x+1379-7x)/(420)=3\\\Rightarrow -x+1379=3* 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