Question

1) A speed walker covered 4 1/2 mi in 3/4 hour. How far will he walk with the same pace in 2 hours? 3 hours? 3.5 hours?

2) Two combine harvesters are able to harvest the crop from 320 acres in a certain amount of time. Working together for the same time, how many acres can be harvested by 7 combine-harvesters? 12?

Please explain your work, Thanks!

Answer 1

You can solve this with proportion

1) For 2h

9/2 mile : 3/4h = x mile : 2h => (3/4)x=(9/2)*2 => (3/4)x=9 => x=9*(4/3)= 12miles

For 3h => (3/4)x=(9/2)*3 When we divide equation with 3 we get

x/4=9/2 => x=(9/2)*4=18 miles

2) 2 combine : 320 acres = 7 combines : x acres +: 2x= 320*7 =>

x= (320*7)/2 = 160 * 7 = 1120 acres

Good luck!!!