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Montano1993 [528]
3 years ago
8

A car drives east along a road at a constant speed of 46 miles per hour. At 4:00 P.M., a truck is 264 miles away, driving west a

long the same road at a constant speed. The vehicles pass each other at 7:00 P.M. What is the speed of the truck
Mathematics
1 answer:
sveticcg [70]3 years ago
7 0

Answer:

The speed of the truck is 42 mph

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

s -----> the speed in miles per hour

d ----> the distance in miles

t ----> the time in hours

s=\frac{d}{t}

d=s(t)

step 1

Find out the distance traveled by the car at 7:00 P.M

we have

s=46\ \frac{mi}{h}

t=7:00 P.M-4:00 P.M=3\ h

d=s(t)

substitute the values

d=46(3)=138\ mi

step 2

Find out the speed of the truck

we know that

At 7:00 P.M the distance is equal to

d=264-138=126\ mi

t=7:00 P.M-4:00 P.M=3\ h

substitute

s=\frac{126}{3}

s=42\ \frac{mi}{h}

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