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?
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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.
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