A car is traveling at an average speed of 70m/s. How many km would the car travel in 6.5 hrs?

Answers (2)

1 km = 1000 m
1 h = 3600 s

3.6 km/h = 3600 m / (3600 s) = 1 m/s

Thus,

70 m/s = (70 / 1000) km / ((1 / 3600) h) = (70 * 3600 / 1000) km/h =

70 * 3.6 km/h = 252 km/h.

The car travelling at 252 km/h for 6.5 h will cover a distance d:

d = 252 km/h * 6.5 h = 1638 km.

Votes: +0 / -0

A conversion factor is a fraction equal to 1. You are given that one hour equals 60 minutes so you can write that as hr/60min=1 or 60min/hr=1 whichever works for you and drop it into an equation anywhere and it only changes the units.

ANSWER = You write this first so it looks like you know what you are doing. That gives you a bit of time to figure out what to do next.

ANSWER = 6.5hr x 70m/s x km/1000m x 60s/min x 60min/hr

Ok, now we check everything. This is called sanity check and it is especially important in chemistry and physics where you might have a dozen or so conversions in a single equation. We have hr above the fraction bar and again below so that cancels. We have m above the bar and again below so that cancels. We have s below the bar and again above so that cancels. We have km above the bar and that appears in the answer like we want it.

When you are sure everything is right, multiply all the numbers above the line and divide by all the numbers below the line.

ANSWER = 6.5hr x 70m/s x km/1000m x 60s/min x 60min/hr = 1638km

Votes: +0 / -0