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elixir [45]
4 years ago
12

A man usually rides his bike 9 kilometers per hour, yet the wind slows him to 6.76 kilometers for 26 minutes and 5.55 kilometers

for 10, how long until he gets home 11.54 miles away?
Mathematics
1 answer:
Greeley [361]4 years ago
4 0

Answer:

<em>It will take almost 2 hours 8 mins .</em>

Step-by-step explanation:

The man rides his bicycle for 9 km for 1 hour.

He has to travel 11.54 miles.

1 mile = 1.609 km

11.54 miles= 11.54* 1.609 km= 18.568 = 18.57 km

It will take him 18.57 km / 9 km=  2.06 hrs= 127 mins

He moves 26 minutes at 6.76 km per hour meaning he moves 6.76/60 * 26=

2.93 km .

He moves 10 minutes at 5.55 km per hour meaning he moves 5.55/60 * 10=

0.925 km .

Out of 18.57 km he has moved 2.93+0.925= 3.855 km in 36 mins

18.57 km- 3.9 km =  14. 67 km is yet to travel

Now applying cross product rule

9 km                       60 mins

14.67 km                   ? x

x= 60 * 14.67/9= 97.8 mins

Total time taken will be 26 + 10 + 97.8 mins = 127.8 mins = 2 hours 7 mins

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sdas [7]

Answer:

10 + (\frac{2}{3}) a = 50 is the CORRECT equation.

Step-by-step explanation:

The given question is INCOMPLETE.

Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.” Javier writes the equation { 10 + 2/3} where a is the tree’s age in years. His equation is not correct. What error did he make?

Now here:

a:  The tree’s age in years.

Also,  “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.”

⇒ 10 +  two-thirds of that tree’s age  = 50

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But in the equation written by Javier, the the third fraction is NOT MULTIPLIED by the age of the tree a in Years.

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Now, solving the written correct equation for the value of a, we get:

\implies 10 + (\frac{2}{3}) a = 50\\\implies  (\frac{2}{3}) a = 40\\\implies a = 40 \times  (\frac{3}{2})  = 60\\\implies a  = 60

Hence the correct  age of the tree = 60 years

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