Question

Radha and Rita are training for a race.
• Radha started her training 3 days before Rita.
• On the first day Radha ran for 45 minutes and increased her running time every day by 3 minutes.
• Rita started running for 30 minutes and increased her running time every day by 6 minutes.

After how many days from the day Rita started running, will they run for the same amount of time?​

Answer 1

Answer:

8 days after the day Rita started running, Rita will run the same amount of time as Radha.

Step-by-step explanation:

Let r be the number of days from the day Rita starts running, on which both of them run for the same amount of time.

Amount of time Rita will run r days after she started running = 30+6r min

Amount of time Radha will run r days after Rita started running =45+3(r+3)min

So, 30+6r-45+3(r+3).

30+6r=45+3r+9.

So, 6r-3r-45+9-30.

3r=24.

Hence, r=8.