+0

# Word problem involving the least common multiple of 2 numbers

0
117
2

Justin and Keiko walk around a track. Justin walks each lap in

10

minutes. Keiko walks each lap in

6

minutes. The two of them begin at the starting line at the same time. They walk until they meet again at the starting line.

How many laps does Justin complete?

How many laps does Keiko complete?

laps

How much time does it take for them to meet again at the starting line?

Dec 29, 2020

#1
+1

They are back  at starting line:

J:          10            20              30          40    minutes

K:     6        12   18      24       30      36

So they meet again at 30 minutes at the starting line..... I think you can take it from here.......

Dec 29, 2020
#2
+117576
+1

Justin walks  1/10  of a lap in one  minute

Keiko walks 1/6 of a  lap in one minute

The LCM of 6 and 10  = 30  = the number of  minutes until they meet again at the  starting line

In that time   Justin walks  (1/10) * 30    = 3 laps

And Justin  walks  (1/6)*30   = 5 laps

Dec 29, 2020