Question

Priya and Han are biking in the same direction on the same path.

1. Han is riding at a constant speed of 16 miles per hour. Write an expression that shows how many miles Han has gone after t hours.

miles

2. Priya started riding a half hour before Han. If Han has been riding for t hours, how long has Priya been riding?

hours

3. Priya is riding at a constant speed of 12 miles per hour. Write an expression that shows how many miles Priya has gone after Han has been riding for t hours.


4. Use your expressions to find when Han and Priya meet.

t=

They meet after Han rides for
hours and Priya rides for
hours.

Answer 1

1. V = D/t => D=Vt. as V = 16mph

D = 16t

2. Prya has been riding for t+½ hours

3. Prya has gone 12(t+½) miles

4. When Prya and Han meet

16t = 12t +6

4t = 6

t = 3/2 hours