The coach trip seemed endless. At the quarter-way mark, Jim glanced at watch. It was just 4pm. At 5pm there was still a third of his journey left to go. what time would the coach reach Jim's destination?
2007-02-07 19:33:30 · 5 answers · asked by Chocolato 1 in Science & Mathematics ➔ Other - Science
Use the info to form an equation
1 hour = 2/3 * (distance) - 1/4 (distance)
1hour = (8/12 - 3/12) * distance
1hour = 5/12 * distance
12/5 hour = distance
2.4 hours = total distance to travel
So if at 5pm Jim had a 1/3 of distance to go
time left = 1/3 * 12/5 = 0.8 hours = 48 minutes. Would reach destination at 5.48pm.
2007-02-07 19:46:10 · answer #1 · answered by Michael T 5 · 1⤊ 0⤋
At 4pm, one-quarter of trip (3/12 using a common denominator) had been completed.
In one more hour, 5pm, one-third of trip remained, or two-thirds had been completed, (8/12 using common denominator).
Thus, in one hour (8/12-3/12 = 5/12) of trip distance was covered.
At 5pm, one-third of trip remained, (4/12), to be covered, at a speed of 5/12 per hour: (4/12 divided by 5/12 = 0.8 hr to complete or 48 minutes).
At 5:48pm the coach and Jim will arrive....finally!
2007-02-08 07:40:49 · answer #2 · answered by RWPOW 2 · 1⤊ 0⤋
MRZ is spot on,
It take 1 hour to cover 5/12 of the journey, with 4/12 left to go.
60 mins less 20% is 48 minutes, so its 5:48pm
2007-02-08 07:42:20 · answer #3 · answered by Doctor Q 6 · 2⤊ 0⤋
Obviously, the coach started at 3:36pm, so it must have reached the destination at 5:12pm
2007-02-08 03:40:42 · answer #4 · answered by Boofie 6 · 0⤊ 1⤋
Darn... I'm disapointed. I thought you wanted to know about Coach Handbags. :(
2007-02-08 03:43:05 · answer #5 · answered by Aunt Bee 6 · 0⤊ 1⤋