Question

Xóchitl, who has already warmed up, immediately starts to pedal at a rate of [18 , dfrac textkm texth ] on a stationary bike. She sees that her friend Cowessess has already pedaled [12 ] minutes at an average rate of [10 , dfrac textkm texth ]. Assuming Cowessess's rate stays the same, how long would Xóchitl have to pedal to catch up to Cowessess's distance?

Answer 1

Xóchitl needs to pedal for approximately 6.67 minutes at a rate of 18 km/h to catch up to Cowessess, who has already covered 2 km in 12 minutes at a rate of 10 km/h.

To calculate how long Xóchitl would have to pedal to catch up to Cowessess's distance, we need to use the formula for distance: distance = speed × time.

Since Cowessess has already pedaled for 12 minutes at an average rate of 10 km/h, we can calculate the distance Cowessess has covered as follows:

• Convert minutes to hours: 12 minutes = 12/60 hours = 0.2 hours.
• Cowessess's distance = 10 km/h × 0.2 h = 2 km.

Now we need to find out how long it will take Xóchitl, who pedals at 18 km/h, to cover the same distance.

Xóchitl's time = distance / speed

Xóchitl's time to cover 2 km = 2 km / 18 km/h = 1/9 hours

Convert hours to minutes: 1/9 hours × 60 minutes/hour = 6.67 minutes

Therefore, Xóchitl must pedal for approximately 6.67 minutes to catch up to Cowessess.