Adventure Tours has 6 leisure-tour trolleys that travel 15 mph slower than their 3 express tour buses. The bus travels 132 mi in the time it takes the trolley to travel 99 mi. Find the speed of each mode of transportation.

coexpennan

coexpennan

Answered question

2021-01-31

Adventure Tours has 6 leisure-tour trolleys that travel 15 mph slower than their 3 express tour buses. The bus travels 132 mi in the time it takes the trolley to travel 99 mi. Find the speed of each mode of transportation.

Answer & Explanation

dieseisB

dieseisB

Skilled2021-02-01Added 85 answers

For motion problems, use the distance formula: distance=rate×timed=rt
Let x be the speed of a bus so that x-5 is the speed of the trolley, both in mph.
The time it takes for the bus to travel 132 miles is the same as the time it takes for the trolley to travel 99 miles:
tB=tT
(dBrB)=(dTrT)
132x=99x15
Solve for x. Cross multiply: 132(x15)=99x
132x1980=99x
132x=99x+1980
33x=1980
x=60
So, the speed of the bus is 60 mph and the speed of the trolley is 6015=45 mph.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

Answer is given below (on video)

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