Question

A bus​ averages 8 miles per hour faster than a trolley. If the bus travels 60 miles in the same time it takes the trolley​ to travel 44 miles, then what is the speed of each

Answer 1

Answer:

Bus speed:  22 mph; Trolley speed:  14 mph

Step-by-step explanation:

Let rb represent the speed of the bus and rt the speed of the trolley.  Then rb = rt + 8 (mph).

Recall that distance = rate times time.  Two different distances and two different speeds are involved here, but only one time.

Thus,

             60 mi                                                           44 mi

     --------------------- = time (same in both cases) = -------------

          rt + 8 mi/hr                                                        rt

Cross-multiplying, we get   44rt + 8(44) = 60 rt, or

                                                    352 = 16rt.

Solving this for rt, we get    rt = speed of bus = 352/16 = 22 mph

The speed at which the bus travels is 22 mph and that at which the trolley travels is (22 mph - 8 mph) = 14 mph