Question

Sam was still finishing his breakfast when his brother Leo left for school. Sam started to run after Leo when Leo was already 100 meters away. How soon will Sam catch up, if he is running at a speed of 105 meters per minute while Leo is walking at a speed of 65 meters per minute?

Answer 1

X=2.5 min
Y=262.5 m




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Answer 2

Answer: 2.5 minutes

Step-by-step explanation:

Let x be the time ( in minutes ) Sam will take to catch Leo .

We know that : Distance = Speed x Time

Speed of Leo = 65 meters per minute

Speed of Sam = 105 meters per minute

According to the given situation, we have

Distance covered by Leo = (100 +65 x ) meters

Distance covered by Sam = 105 x meters

Sam will catch Leo when distance covered by Leo would be equal to  distance covered by Sam.

i.e. $105x=100+65x$

$40x=100$  [ Subtract 65 x from both sides ]

x=2.5    [Divide both sides by 40]

Hence, Sam will catch up Leo after 2.5 minutes.