noah entered a 100 mile bike race he knows he can ride 32 miles in 160 minutes at this rate how long will it take him to finish the race

Respuesta :

Answer:

let time for the race be y minutes

If 32 miles =160 minutes

then 100 miles =y minutes

Cross multiply: (100 miles*160 minutes) = 32 y

y = (100*160)/32 =500

time for the race = 500 minutes

Step-by-step explanation:


Going at the speed he believes he can go, Noah will be able to finish the race in 8.34 hours.

First thing to do is to find out the speed Noah can ride at.

Speed = Distance / Time

The time should be in hours because the proper convention is miles per hour.

= 160 / 60 minutes

= 2.67 hours

Speed = 32 / 2.67

= 11.99 miles per hour

Going at 11.99 miles per hour, he will finish a 100 mile race in:

= Distance / Speed

= 100 / 11.99

= 8.34 hours

In conclusion, Noah will finish the race in 8.34 hours.

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