Question

12. Multistep Terrance and Jesse are training

for a long-distance race. Terrance trains at
a rate of 6 miles every half hour, and Jesse
trains at a rate of 2 miles every 15 minutes.
a. What is the unit rate in miles per hour
for each runner?
12 miles
8 miles
Terrance: Ihr Jesse! Thr
b. How long will each person take to run
a total of 50 miles at the given rates?
Terrance: 4 hr 10 min
Jesse: 6hr 15 min
Sandra runs at a rate of 8 miles in
45 minutes. How does her unit rate
compare to Terrance's and to Jesse's?



I need the most help with C PLZZZZ

Answer 1

a) Terrance's speed- 12
`\frac {{textrm{ miles}}}{{textrm{ hours}}}`

Jesse's speed -8
`\frac{{textrm{ miles}}}{{textrm{ hour}}}`

b) Teerance ;- 4 hr 10 min ; Jesse ;- 6 hr 15 min

c) Sandra's speed :-
`10 (2)/(3) \frac{{textrm{ mile}}}{{textrm{ hour}}}`

Explanation:

Terrance runs

in
`\frac {1}{2}` an hour 6 miles

So in 1 hour he / she runs
`(6 * 2)` miles

= 12 miles.

So Terrance's speed is 12
`\frac {{textrm{ miles}}}{{textrm{ hours}}}` ---(1)

Jesse's runs

In 15 minutes 2 miles

So, In 1 minute
`\frac {2}{15}` miles

So, in 60 minutes
`\frac {2}{15} * 60` miles

= 8 miles

So, Jesse's speed is 8
`\frac{{textrm{ miles}}}{{textrm{ hour}}}` ----------(2)

Terrance runs,

12 miles in 1 hour

so, 1 mile in
`\frac {1}{12}` hour

so, 50 miles in
`\frac {50}{12}` hour

=
`4 (1)/(6)` hour

=4 hour
`\frac {60}{6}` minutes

= 4 hour 10 minutes.

Jesse runs,

8 miles in 1 hour

so, 50 miles in
`\frac {50}{8}` hour

=
`6 (1)/(4)` hour

= 6 hour
`\frac {60}{4}` minutes

= 6 hour 15 minutes

Sandra runs,

in 45 minutes 8 miles

so, in 1 minute
`\frac {8}{45}` mile

so, in 60 minutes
`\frac {8}{45} * 60` miles

=
`10 (2)/(3)` miles

So Sandra's speed is ,
`10 (2)/(3) \frac{{textrm{ mile}}}{{textrm{ hour}}}`---------------- (3)