Question

Devon set out to bicycle from Exeter to the beach, a distance for 10 miles. After going a short while at 15 miles per hour, the bike developed a flat tire, and the trip had to be given up. The walk back to Exeter was made at a deected 3 miles per hour. The whole epsiode took 48 minutes. How many miles from Exeter did the flat occur?

Answer 1

Answer:

Distance between Exeter and the point where flat tire occurred was 1.875 miles.

Step-by-step explanation:

Let the distance of Exeter and the point where bike developed the flat tire was = x miles

Then time taken to reach that point with speed 15 mi per hour = $\frac{\text{Distance traveled}}{\text{Time taken}}$

= $\frac{x}{15}$ hours

Devon comes back with a speed of 3 miles per hour then time taken to come back = $\frac{x}{3}$ hours

Total time for the entire episode = 48 minutes or $\frac{3}{4}$ hours

Therefore, $\frac{x}{15}+\frac{x}{3}=\frac{3}{4}$

$\frac{x+5x}{15}=\frac{3}{4}$

$\frac{6x}{15}=\frac{3}{4}$

x = $\frac{3}{4}\times \frac{15}{6}$

x = $\frac{15}{8}$ miles

x = 1.875 miles

Therefore, distance between Exeter and the point where flat tire occurred was 1.875 miles.