# Ratio & Conversion to Time?

I ran 3.6 miles in 35 minutes and 40 seconds. What is my average for MPH ran? I think: I divide 3.6/35 but i don't know the rest.

Relevance
•   3.6 (60 / 35 2/3) = 6.05607477 mph

• 35 min x 1h/60 min + 40 s x 1min/60s x 1hr/60 min

= 0.5833 + 0.01111

=0.59411 h

solving for average speed.

v = d/t = 3.6 miles / 0.59411 h =6.06  mph   answer//

• 35m40s=2140s/3600=.5944h

3.6/.5944=6.06MPh

• Here, we must convert miles per (minutes & seconds) to

miles per hour.;

1) 35 min & 40 sec = (35 + 40/60) min  = (35 + 2/3) min =

(107/3) min.;

2) 1 min = (1/60) hr;

3) 3.6 miles in 35 min & 40 sec = 3.6 miles in (107/3) min

= 3.6 miles in (107/3)(1/60)hr = 3.6 miles per (107/180)hr

= 3.6(180/107)miles per hr  = 6.056074766 mph or 6.1 mph

roughly.

• First convert the minutes and seconds to hours.

40 sec = 40/60 = 2/3 min

(35 2/3) / 60 = (107/3) / 60 = 107/180 hours.

Hence

speed (MpH) = 3.6 miles/ (107/180) hours

speed = 3.6 x 180 / 107 = 6.056 mph.

NB The fastest humans ; those doing 100 metres in less than 10 secs are only doing about 36 km per hr. ~ 24 mph.

• = 3.6 miles in [35 min + 40 s]

= 3.6 miles in [(35 * 1 min) + 40 s] → recall: 1 min = 60 s

= 3.6 miles in [(35 * 60 s) + 40 s]

= 3.6 miles in [2100 s + 40 s]

= 3.6 miles in [2140 s] → recall: 1 h = 3600 s

=    x miles in [3600 s] → you make the cross-multiply

x * 2140 = 3.6 * 3600

x = 3.6 * 3600 / 2140

x = 3.6 * 360 / 214

x = 3.6 * 180 / 107

x = 648 / 107

x ≈ 6.05 miles in 3600 s

x ≈ 6.05 miles in 1 h

x ≈ 6.05 mph

• suppose you took 36 min to run 3.6 mile

that means 0.1 mile/min = 6 mile per hour.

now

3.6 mile / (35*60+40)sec = 3.6 mile/(2140)sec

in 2140 sec 3.6 mile covered

in 60*60 sec distance covered=3.6*3600/2140=6.056

avg speed = 6.056 mph

• 35 minutes and 40 seconds => 2140 seconds

1 hour => 3600 seconds

Hence, 2140/3600 hours => 107/180

so, 3.6 miles in (107/180) hours

Therefore, 3.6(180/107) => 6.06 m.p.h.

:)>

• 35 mins 40 seconds/60 = 2140 seconds

3.6/2140 = 0.012622 - that's miles per second

0.126622 x 60 = 0.1009345 - miles per minute

0.1009345 x 60 = 6.056 miles per hour