High School

Brian went for a drive in his new car. He drove for 97.6 miles at a speed of 61 miles per hour. For how many hours did he drive?

Answer :

Answer:

t=1.6h

Step-by-step explanation:

This question is asking to find change in time with knowns of average velocity and displacement.

This is the formula used for problems related to Velocity.

v= x / t

v= average velocity

x= displacement

t= change in time

a. identify knowns

v = 61mi/h

x = 97.6mi

b. plug in values

61mi/h = 97.6mi / t

c. Multiply all terms by the same value to eliminate fraction denominators.

t ⋅ 61 mi/h = t ⋅ 97.6 / t

d. Cancel multiplied terms that are in the denominator.

61 mi/h ⋅ t = 97.6mi

e. Re-order terms so constants are on the left.

61 mi/h ⋅ t = 97.6 mi

f. Divide both sides by the same factor.

61 mi/h ⋅ t / 61 mi/h = 97.6 mi / 61 mi/h

g. simplify

t = 1.6 h

Check unit of measurement

Time is measured in hours.

therefore, t = 1.6 h

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