Question

Lin runs 2 3/4 miles in 2/5 of an hour. Tlyer runs 8 2/3 miles in 4/3 of an hour. How long does it take for each of them to run 10 mileshow long does it take Tyler to run 10 miles at that rate?

Answer 1

Lin will cover 10 miles in 1.45 hours.

Tyler will cover 10 miles in 1.54 hours.

Step-by-step explanation

We need to note that speed is given as

Speed = (Distance)/(Time)

For Lin,

Distance = 2 3/4 miles = 2.75 miles

Time = (2/5) hour = 0.40 hour

Speed = (Distance)/(Time)

= (2.75/0.40)

= 6.875 miles per hour

For Tyler

Distance = 8 2/3 miles = 8.67 miles

Time = (4/3) hour = 1.33 hour

Speed = (Distance)/(Time)

= (8.67/1.33)

= 6.5 miles per hour

We can then calculate how long it will take each of them to cover 10 miles

Speed = (Distance)/(Time)

For Lin

Speed = 6.875 miles per hour

Distance = 10 miles

Time = ?

Speed = (Distance)/(Time)

6.875 = (10/Time)

Cross multiply

Time = (10/6.875)

Time = 1.45 hours

For Tyler

Speed = 6.5 miles per hour

Distance = 10 miles

Time = ?

Speed = (Distance)/(Time)

6.5 = (10/Time)

Cross multiply

Time = (10/6.5)

Time = 1.54 hours

Hope this Helps!!!