Question

Two motorcycles leave home at the same time, heading directly toward each other. They are a total of 196 m i l e s apart. The first motorcycle travels at 65 miles per hour. The second motorcycle travels at 75 miles per hour. How long will it take for the two motorcycles to meet?

Answer 1

Answer:1.4 hours

Step-by-step explanation:

Given

Distance between Motorcycles is 196 miles

and speed of First motorcyclist is 65 miles per hour

speed of second motor cyclist is 75 miles per hour

Let us suppose First motorcyclist cover x distance in t time

and at same time t second  motorcyclist cover a distance of 196-x

For same time t

$\frac{196-x}{75}=\frac{x}{65}$

Solving we get

x=91 miles

So time taken $t=\frac{91}{65}=1.4 hours$

Answer 2

Answer:

1.4 hrs

Step-by-step explanation:

Given ;

The distance to be covered by the motorcycles is 196 miles

1st motorcycle speed= 65 m/h

2nd motorcycle speed= 75 m/h

Find relative speed of the motorcycles= 65+75=140m/h

Time of meeting= Distance to be covered/relative speed

Time of meeting=196/140=1.4 hrs