Question

Julia and Kajal make deliveries on their bicycles. For each delivery, they need some time to get ready, and then they each ride at a constant speed.
Julia takes 40 minutes to make a delivery 5 kilometers away. She uses 10 minutes of the delivery time to get ready

The time it takes Kajal to make a delivery (in minutes) as a function of the distance of the delivery (in kilometers) is given by the following function:

T(d)=15+6d

Who takes more time to get ready?

Who rides faster?

Answer 1

For Julia’s case, we determine first he time it takes her to ride or cover every kilometre knowing that 10 minutes of the given 40 minutes is used for the preparation.

 

    r (Julia) = (40 – 10 min) / 5 km = 6 minutes per kilometre

 

A.    The time it takes Julia to get ready is only 10 minutes while from the given equation, the time it takes Kajal to get ready is 15 minutes. Hence, the answer is Kajal.

B.    From the calculation above, it takes Julia 6 minutes to cover a kilometre. From the equation, it is also given that Kajal takes 6 minutes to cover every kilometre. Hence, the answer is Neither as they travel at the same rate.