Question

Emma started biking to the coffee shop traveling 15 mph, after some time the bike got a flat so Emma walked the rest of the way, traveling 7 mph. If the total trip to the coffee shop took 9 hours and it was 103 miles away, how long did Emma travel at each speed

Answer 1

Answer:

$75\text{ miles, }28\text{ miles}$

Step-by-step explanation:

GIVEN: Emma started biking to the coffee shop traveling $15 \text{mph}$, after some time the bike got a flat so Emma walked the rest of the way, traveling $7 \text{mph}$ If the total trip to the coffee shop took $9 \text{hours}$ and it was $103 \text{miles}$ away.

TO FIND: how long did Emma travel at each speed.

SOLUTION:

Let the distance traveled by Emma through bike is $\text{x}$

Total time taken when traveled by bike $=\frac{\text{x}}{15}$

Distance traveled through feet $=103-\text{x}$

Total time taken when traveled by feet $=\frac{103-\text{x}}{7}$

Now,

Total time taken $=9\text{hours}$

$\frac{\text{x}}{15}+\frac{103-\text{x}}{7}=9$

$8\text{x}=600$

$\text{x}=75$

Distance traveled through feet $=103-75=28\text{miles}$

Hence distance traveled using bike is $75\text{miles}$ and by feet is $28\text{miles}$