A man drives his car with uniform speed from place A to the place B which is 150km away.again more than the distance between the point B and P. If the distance between point A and B is 10m and AB is longest side of the triangle ABC . Is ABC a right angled triangle or not, justify your answer using the discriminant of quadratic equation and also find the measure of AP and BP.
Answers
Answer:
The total time required in the entire journey is 5.5 hours.
Step-by-step explanation:
Distance=
Let the original speed be S, so the new speed is S+10
Original time = 150/S
New time = 150/( S+10)
Difference between both the time taken= 30 minutes or 1/2 hours.
So, according to the given conditions, we can form the equation as:
150/S - 150/( S+10) = 1/2
So, by solving this we get the equation:
S2+ 10S- 3000= 0
So, on solving it, we get S as 50
Original speed is 50km/hour , so new speed is 60 km/hour
So, original time is 150/50 = 3hours
New time is 150/60 = 2.5 hours
So, total time taken = 5.5 hours.
Answer:
$$\huge{\fbox{\fbox{\bigstar{\mathfrak{\red{Answer}}}}}}$$
The total time required in the entire journey is 5.5 hours.
Step-by-step explanation:
Distance= $$\huge{\fbox{\mathfrak{\black{150km}}}}$$
Let the original speed be S, so the new speed is S+10
Original time = 150/S
New time = 150/( S+10)
Difference between both the time taken= 30 minutes or 1/2 hours.
So, according to the given conditions, we can form the equation as:
150/S - 150/( S+10) = 1/2
So, by solving this we get the equation:
S2+ 10S- 3000= 0
So, on solving it, we get S as 50
Original speed is 50km/hour , so new speed is 60 km/hour
So, original time is 150/50 = 3hours
New time is 150/60 = 2.5 hours
So, total time taken = 5.5 hours.