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I understand how to get 40, but I thought it should be 40 and 13 not 40 and 12, because using An= a + (n-1) 2, formula on both we get 40 and 13 as answers.
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The question says 25 to 79, inclusive so the sum should be from 26 till 79
If you take 13, then you will be removing 25 from the answer so you need to take one less term.
for Q.1 here, impact of increase in speed will be: impact of increase in load will be: and both these things will be added to 24 so that equation is: 24 + (-1/2(S-40))/10 + (-L/500)
If a dictionary consists of only the words formed from all the letters of the word RIVER arranged in alphabetical order, what is the word that is ranked 39th from the beginning?
words starting with E: Remaining RRIV will be arranged in 4!/2! or 12 ways. Similarly words starting from I, so 24 gone. Next RE_,_,_ : 3! or 6 ways, RI_,_,_ again 6 ways. Total 24+6+6 or 36 gone. 37 will be RREIV, then RREVI and 39th RRIEV
Sylvia is driving at 48 miles/hr and her husband Kal is driving at 55 miles/hr. If he starts off from home 45 minutes after she has left, how long would he take to catch up with her on the journey if they’re both taking the same route?
In 45 minutes, S would have covered 36 miles. K can cover 55-48 or 7 kms extra in one hour. So to cover 36 he requires 36/7 which is 5 hrs 1/7*60 minutes, that is 5 h and 8 .5 min
This question is based on relative velocity. Since both Sylvia and Kal are driving in the same directions the speeds cancel and the relative speed becomes 55 - 48 which is 7 miles per hour. Since Sylivia has already left, in 45 min she would cover 36 miles. And for Kal to cover that distance with a relative speed of 7 miles per hour would take 5.14 hours or 5 hours 8 min.