Answer:
2.9 mi
Step-by-step explanation:
The time difference t between 12.30pm and 3.30pm is 3h.
Let the distance to Marat's house be s.
The equation to calculate velocity v is given by:
v = distance / time.
Now you can write an equation for the time difference t and use the two velocities and the 90 min(= 1.5h) she stays:
3 = s/12 + 1.5 + s/2.3
Solve this equation for s:
(1/12 + 10/23)* s = 1.5
s = 2.9
Martha's house is at a distance of 2.895 miles from LA Tanya's house.
Let the distance between Martha and LA Tanya's house = d
Total time = (3:30 - 12:30)pm = 3 hours
Stay time = 90 minutes = 1.5 hours
Recall :
Time = distance / speed
Therefore,
Cycling time = d / 12
Walking time = d / 2.3
Total time could be defined as :
Cycling time + walking time + stay time
d/12 + d/2.3 + 1.5 = 3
d/12 + d/2.3 = 3 - 1.5
d/12 + d/2.3 = 1.5
Multiply the denominator by 10
d/120 + d/23 = 1.5/10
L.C.M of 120 and 23 = 2760
(23d + 120d) / 2760 = 1.5/10
143d/2760 = 1.5/10
Cross multiply
1430d = 4140
d = 4140 / 1430
d = 2.895 miles
Hence, the distance between Martha and LA Tanya's house is 2.895 miles.
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