SOLUTION: Tobias starts out jogging from Dauntless Headquarters at 6:00 a.m. at a speed of 4 mi/h. Twelve minutes later, Tris starts out from Dauntless Headquarters and follows the same rout

Question 1001955: Tobias starts out jogging from Dauntless Headquarters at 6:00 a.m. at a speed of 4 mi/h. Twelve minutes later, Tris starts out from Dauntless Headquarters and follows the same route. At what constant rate in miles per hour must Tris run to catch Tobias at 6:42 a.m.? Put answer into nearest tenth decimal
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
RT=D; use time quantities instead of points on a time line; set up a data table for rates, times, distances. "Catch-up" is when Tobias and Tris went the same distance. Best unit for time will be in the equivalents as HOURS.

Still need more help?
"~yes".

Time QUANTITIES are used here in unit of HOURS or fractions of hours.

rate time in hours distance Tobias 4 t+12/60 d Tris r 42/60-12/60 d

The description is enough information to obtain two equations, but the system will have THREE unknown variables of r, t, and d.

--After some thought, t=42/60-12/60 and time becomes a knowable constant for Tobias and another for Tris; making t as known. Make this adjustment and the only unknowns are r and d.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Tobias starts out jogging from Dauntless Headquarters at 6:00 a.m. at a speed of 4 mi/h. Twelve minutes later, Tris starts out from Dauntless Headquarters and follows the same route. At what constant rate in miles per hour must Tris run to catch Tobias at 6:42 a.m.? Put answer into nearest tenth decimal

Distance Tobias has traveled in 42 (6:00 a.m. � 6:42 a.m.) minutes is: , or 2.8 miles
Time Tris takes to travel 2.8 miles = 30 (6:12 a.m. � 6:42 a.m.) minutes, or hour
Speed at which Tris needs to travel to catch Tobias at 6:42 a.m. = , or 2.8 * 2, or mph
RELATED QUESTIONS
Maria starts out jogging from Ye Olde Bridge at 8:00am at a speed of 4 mil/h. Twelve... (answered by fractalier)
The distance between Hazleton and Pleasantville is 100miles. At 2:00 p.m. Mike starts... (answered by mananth)
Two hikers are walking along a marked trail. The first hiker starts at a point 6 mi from... (answered by richwmiller)
kelvin intends to arrive at town p from his house at 2:30 p.m. he starts hi journey at... (answered by greenestamps)
at 7:00 AM joe starts jogging at 6 mi/h. at 7:10 am ken starts off after him. how fast... (answered by Alan3354)
at 7:00 a.m joe starts jogging at 6 mi/h. at 7:30 ken starts off after him. how fast must (answered by richwmiller,ankor@dixie-net.com)
Mary starts jogging from her home to the park at the speed of 4kph. Half an hr later,... (answered by ankor@dixie-net.com)
Jeremy starts jogging at a constant rate of five miles per hour. Half an hour later,... (answered by josgarithmetic)
A jogger starts from one end of a 11-mile nature trail at 8:00 A.M. One hour later, a... (answered by ikleyn)