Question

Prajakta lends a sum of money to her friend at 20%
compound interest for 2 years, which she got from
Prerna for 2 years at simple interest on the same
interest rate. Find the percentage earning of Prajakta
on the entire amount at the end of 2 years.​

Answer 1

Answer:

Aman is caught in an emergency and has to visit another town 80 km away in exactly 6 hours. He cannot find any vehicle nearby, so he started moving by foot at a speed of 8 km per hour. After some time, he got a bicycle and then travelled the rest of the distance on a bicycle at 16 km per hour. Find the distance travelled by Aman on foot.

{\large{\bold{\rm{\underline{Given \; that}}}}}

Giventhat

✠ *Aman is caught in an emergency and has to visit another town*

↝ Town is 80 km away in exactly 6 hours.

\; \; \; \; \; \; \; \; \; \;{\bf{In \: short, \: means}}Inshort,means

➛ Total distance = 80 km

➛ Time taken = 6 hours

✠ *He cannot find any vehicle nearby, so he started moving by foot*

↝ Speed = 8 km/h moving via foot.

\; \; \; \; \; \; \; \; \; \;{\bf{In \: short, \: means}}Inshort,means

➛ Speed(foot) = 8 km/h

✠ *After some time, he got a bicycle and then travelled*

↝ The rest of the distance he traveled on a bicycle at 16 km/h

\; \; \; \; \; \; \; \; \; \;{\bf{In \: short, \: means}}Inshort,means

➛ Speed(bicycle) = 16 km/h

{\large{\bold{\rm{\underline{To \; find}}}}}

Tofind

✯ The distance travelled by Aman on foot.

{\large{\bold{\rm{\underline{Solution}}}}}

Solution

✯ The distance travelled by Aman on foot = 16 kilometres

{\large{\bold{\rm{\underline{Assumptions}}}}}

Assumptions

✯ Time taken(foot) = a

✯ Time taken(bicycle) = 6-a

{\large{\bold{\rm{\underline{Using \; concept}}}}}

Usingconcept

✯ Formula to find distance

{\large{\bold{\rm{\underline{Using \; formula}}}}}

Usingformula

✯ Distance = Speed × Time

{\large{\bold{\rm{\underline{Full \; Solution}}}}}

FullSolution

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~ As we already taked a view on the question and we already understand that what is given here. But let me tell you in short, it is given that a boy Aman have to go 80 km in exactly 6 hrs and he travelled 8 km/h by foot then 16 km/h via bicycle then this question says that we have to find the distance travelled by Aman on foot. We have use formula to find distance. And have to put value according to formula and have to use assumptions. Let's solve this..!

➙ Distance(foot) = 8 × a

➙ Distance(bicycle) = (6-a) × 16

~ The formed equation is,

➙ Total Distance = Sum of distance means of foot and the bicycle

➙ 80 = 8a + 16(6-a)

➙ 80 = 8a + 96 - 16a

➙ 80 - 96 = 8a - 16a

➙ -16 = -8a

➙ 16 = 8a

➙ 16/8 = a

➙ 2 = a

➙ a = 2

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~ Now let's find the time taken,

➙ Time taken(foot) = 2 hrs

➙ Time taken(bicycle) = 6 - a

➙ Time taken(bicycle) = 6 - 2

➙ Time taken(bicycle) = 4 hrs

________________________

~ Now let's calculate the distance,

➙ Distance via foot = 8 × 2

➙ Distance via foot = 16 kms

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