Tariq travels 16 miles from point X to Y, in straight line, in m minutes, where m > 0. Then he takes a coffee break in a nearby coffee shop for m minutes as well. After finishing his nice coffee, he travels K miles for another 2m minutes if Tariq’s average speed for his whole journey from point X to point Z is 13 miles m minute, what is the value of K?
I got to the step where the equation is16k/ 4m = 13/m
People are saying that we can cancel out the m's. IS that possible?
and why can you. There is 4 m's on the left side and 1 on the right.
Can you clarify...... from the coffee shop for 2m minutes to point Z?
and this : 13 miles m minute
...and yes , you can cancel out the m's if you multiply both sides by m you will get
m / 4 m = 13 m/ m
and you are left with 16k/4 = 13 (hope you math is correct up until this point)
16 miles in m minutes
+ m minutes for coffee
k miles in 2m minutes
average = 13 miles/ m minute
(16 + k )/ (m + m + 2m) = 13 miles/m NOTE: 16 + k not 16k
(16+k) / 4m = 13/m
(16+k) / 4 = 13
16 + k = 52
k = 36