64.1k views
2 votes
Kiran and Mai are going on a long bike ride. Kiran can ride 4 miles every 16 minutes and Mai can ride 4 miles every 12 minutes. If Kiran and Mai start a bike trip at the same time how far is each rider after 24 minutes

User Mostafazh
by
8.1k points

1 Answer

4 votes

Final answer:

Kiran would have ridden 6 miles after 24 minutes, and Mai would have ridden 8 miles after the same time, given their respective speeds. After 24 minutes, Kiran would have covered 24 minutes × 0.25 miles/minute = 6 miles, and Mai would have covered 24 minutes × 0.333 miles/minute = 8 miles.

Step-by-step explanation:

Kiran can ride 4 miles every 16 minutes and Mai can ride 4 miles every 12 minutes. To find out how far each rider is after 24 minutes, we need to calculate their respective speeds and use these to find out the distances they cover. Kiran's speed is 4 miles per 16 minutes, which means he rides at a speed of 0.25 miles per minute. Mai's speed is 4 miles per 12 minutes, translating to 0.333 miles per minute. After 24 minutes, Kiran would have covered 24 minutes × 0.25 miles/minute = 6 miles, and Mai would have covered 24 minutes × 0.333 miles/minute = 8 miles.

To find out how far each rider is after 24 minutes, we can use the formula distance = speed × time. Let's start with Kiran:

Kiran can ride 4 miles every 16 minutes, so we can calculate his speed as follows:

Speed = distance ÷ time = 4 miles ÷ 16 minutes = 0.25 miles per minute

To find out how far Kiran would travel in 24 minutes, we can multiply his speed by the time:

Distance = speed × time = 0.25 miles per minute × 24 minutes = 6 miles

So Kiran would be 6 miles away after 24 minutes. Now let's calculate the distance that Mai would travel:

Mai can ride 4 miles every 12 minutes, so her speed is:

Speed = distance ÷ time = 4 miles ÷ 12 minutes = 0.33 miles per minute

To find out how far Mai would travel in 24 minutes, we can multiply her speed by the time:

Distance = speed × time = 0.33 miles per minute × 24 minutes = 8 miles

So Mai would be 8 miles away after 24 minutes.

User Crowlix
by
8.1k points