SOLUTION: A car traveled at a steady speed for 105 miles. Because of traffic, the driver had to cut her speed in half for the next 42 miles. The total time for the trip was 2 hours and 42 mi

Question 1014794: A car traveled at a steady speed for 105 miles. Because of traffic, the driver had to cut her speed in half for the next 42 miles. The total time for the trip was 2 hours and 42 minutes. Find the original speed.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let x = constant original speed, in miles per hour.
Then for first 105 miles, with a rate of x mph, the time traveled was 105/x hours. (From the formula t = distance/speed.)
The last 42 miles was traveled at a rate of x/2 mph as given, so the time traveled is , or 84/x hours.
Hence, as mentioned in the problem,

, after cross-multiplication.
Thus, x = 70 mph, the original speed.
RELATED QUESTIONS
a car traveled at a steady speed for 130 km. due to a mechanical problem, it returned at... (answered by ankor@dixie-net.com)

a car travelled 450 miles in 7.5 hours. a traffic accident cut the car's driving speed... (answered by fractalier)

A trip of 500 kilometres took five and a half hours to complete by car. During the first... (answered by ikleyn,josgarithmetic)

For the first 130 miles of the trip Dan drove at 65 miles per hour. Then because of a... (answered by Alan3354)

A car went a distance of 90 kilometers at a steady speed and returned along the same... (answered by ewatrrr)

A car traveled 10 miles at an average speed of 20 miles per hour and then traveled the... (answered by jorel1380)

A cyclist traveled at a certain speed to a town 30km away, then reduced speed by 4km/hr... (answered by josgarithmetic)

A driver moving at a constant speed sees a log in the road, but it takes time for her to... (answered by josmiceli)

Find the average rate of speed, expressed in miles per hour. A race car driver... (answered by Alan3354)