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2 answers:
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Answer:
The friends live 285 miles apart.
Step-by-step explanation:
Let total distance in miles Sean needs to cover to visit his friend be =
On first hour distance traveled in miles is =
Distance left to cover after first hour =
On second hour distance traveled = 34 miles
Distance to still left to be covered = 194 miles
Total distance to be covered after first hour will be = = 228 miles
Thus, the equation can be given as:
⇒
Multiplying each term with 5 to remove fractions.
⇒
⇒
⇒
Dividing both sides by 4.
⇒
∴
Thus, the friends live 285 miles apart.
Answer:
The length of the loop is approximately 49.58 km.
Step-by-step explanation:
Given:
Time required to ride bicycle in loop = 2 hours and 30 mins
Now we know that;
60 mins = 1 hour
30 mins =0.5 hour
so 2 hour and 30 mins =
∴ Time required to ride bicycle in loop = 2.5 hrs
Let the speed at which she is riding the bicycle be 's'.
and let Total distance of the loop be 'd'
Now we know that;
Distance is given by speed multiplied by time.
framing in equation form we get;
Now Given:
If she increase the speed by 1 km/hr, it would reduce her time around the loop by 7 minutes.
Hence we can say;
Speed =
Also time will be reduce to 7 mins.
7 mins =0.12 hrs
Now time = 2.5-0.12 =2.38
Again Distance is given by speed multiplied by time.
framing in equation form we get;
Now distance is same for both so we will calculate the speed by equating the equations.
Now Speed = 19.83 km/hr
Length of the loop (d) =
Hence the length of the loop is approximately 49.58 km.