Question

Marta,Loribeth,and Ira all have bicycles.The table shows the number of miles of each rider's last bike ride, as well as the time it took each rider to complete the ride.

Distance of last ride (in miles) Time spent on last bike ride (in minutes)

Marta 8 80

Loribeth 6 42

Ira 15 75


If all three riders travel for 3.5 hours at the same speed as their last ride,how many total miles will the three riders travel altogether ? Explain.

Answer 1

The three riders travel 93 miles altogether.

Explanation:

From the given table we will find the speed of each riders individually.

Speed =
`(distance)/(time)`

Speed of Marta =
`(8)/(80)` =
`(1)/(10)` = 0.1 miles / min.

Speed of Loribeth =
`(6)/(42)` =
`(1)/(7)` = 0.143 miles/min.

Speed of Ira =
`(15)/(75)` =
`(1)/(5)` = 0.2 miles / min.

Now we will calculate the distance covered by each riders with their individual speed in 3.5 hours

Since 3.5 hours = 3 × 60 + 30 = 180 + 30 = 210 minutes

Therefore, distance covered by Marta = speed × time.

= 0.1 × 210 = 21 miles

Distance covered by Loribeth = 0.143 × 210 = 30 miles

Distance covered by Ira = 0.2 × 210 = 42 miles

Therefore, total distance covered by all = 21 + 30 + 42 = 93 miles.

The three riders travel 93 miles altogether.